Linear Hyperbolic Functional-Differential Equations with Essentially Bounded Right-Hand Side

Theorems on the unique solvability and nonnegativity of solutions to the characteristic initial value problem u1,1(t,x)=l0(u)(t,x)+l1(u1,0)(t,x)+l2(u0,1)(t,x)+q(t,x),   u(t,c)=α(t) for t∈[a,b],  u(a,x)=β(x)  for  x∈[c,d] given on the rectangle [a,b]×[c,d] are established, whe...

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Bibliographic Details
Main Authors: Alexander Domoshnitsky, Alexander Lomtatidze, Abraham Maghakyan, Jiří Šremr
Format: Article
Language:English
Published: Hindawi Limited 2011-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2011/242965